32749409280 has 1408 divisors, whose sum is σ = 142620549120. Its totient is φ = 6228541440.

The previous prime is 32749409269. The next prime is 32749409293. The reversal of 32749409280 is 8290494723.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 798766060 + ... + 798766100.

Almost surely, 2^32749409280 is an apocalyptic number.

32749409280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32749409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71310274560).

32749409280 is an abundant number, since it is smaller than the sum of its proper divisors (109871139840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32749409280 is a wasteful number, since it uses less digits than its factorization.

32749409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 32749409280 in words is "thirty-two billion, seven hundred forty-nine million, four hundred nine thousand, two hundred eighty".